145529472 has 128 divisors (see below), whose sum is σ = 426539520. Its totient is φ = 43596800.

The previous prime is 145529471. The next prime is 145529479. The reversal of 145529472 is 274925541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 145529472.

It is not an unprimeable number, because it can be changed into a prime (145529471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553213 + ... + 553475.

It is an arithmetic number, because the mean of its divisors is an integer number (3332340).

Almost surely, 2^145529472 is an apocalyptic number.

145529472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145529472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213269760).

145529472 is an abundant number, since it is smaller than the sum of its proper divisors (281010048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145529472 is a wasteful number, since it uses less digits than its factorization.

145529472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 145529472 is about 12063.5596736618. The cubic root of 145529472 is about 525.9974651335.

The spelling of 145529472 in words is "one hundred forty-five million, five hundred twenty-nine thousand, four hundred seventy-two".